Timeline for Cusps as warped products
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 25, 2014 at 4:30 | vote | accept | ThiKu | ||
| Nov 19, 2013 at 17:06 | comment | added | Vladimir S Matveev | Willi, I did not know about Cheeger-Colding (thanks for the reference). My proof, which actually can be generalised for other (not only $R\times_f M$) warped products is as follows: the existence of a solution of (*) allows one to construct an integral for the geodesic flow of the metric, which must be trivial on the manifolds under consideration because the geodesic flow is ergodic. | |
| Nov 19, 2013 at 14:38 | comment | added | Willie Wong | Ah, you are talking about Cheeger-Colding, and you restrict only to consider warped products of the form $(a,b) \times_f N$! Okay, problem solved. Sorry for the noise. (For those who care, point (3) is given in the first section of jstor.org/stable/2118589 ) | |
| Nov 19, 2013 at 14:19 | comment | added | Willie Wong | Do you have a reference for point (3)? I am having a bit of difficulty verifying it myself, and would love to see it done. Thanks. | |
| Nov 18, 2013 at 15:48 | history | answered | Vladimir S Matveev | CC BY-SA 3.0 |